Remark 10.1 When \(\theta =0,\)  the \(\left(\mu ,\theta \right)\) -degenerated
convex outside the ball is equivalent to the \(\mu \) -strongly convex
outside the ball, we achieve a result for strongly convex outside
the ball similar to [1]} but for \(\left(\alpha ,\ell \right)\) -weakly
smooth instead of smooth. The constant could be improved by a factor
of 2 if we take \(\epsilon \)  to be arbitrarily small.

